Finding the Fourth Proportional to 680,804,417,515.20, 1,021,206,626,272.80 and 402,176,278,507.20
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Solution
The fourth proportional to 680,804,417,515.20, 1,021,206,626,272.80 and 402,176,278,507.20 is: 603,264,417,760.80
Step by Step Solution
- Step 1: Write the proportion equation
680,804,417,515.20 : 1,021,206,626,272.80 = 402,176,278,507.20 : x - Step 2: Convert to fraction form
680,804,417,515.20/1,021,206,626,272.80 = 402,176,278,507.20/x - Step 3: Cross multiply
680,804,417,515.20x = 1,021,206,626,272.80 × 402,176,278,507.20 - Step 4: Simplify right side
680,804,417,515.20x = 410,705,080,541,287,737,720,832 - Step 5: Solve for x
x = 410,705,080,541,287,737,720,832/680,804,417,515.20 - Step 6: Final answer
x = 603,264,417,760.80
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.